Remember, multiplication is the shortcut for doing repeated addition:

\(6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 54\)

\(6 \times 9 = 54\)

Similarly, there is a shortcut to writing multiplication if you do the same thing over and over again:

\(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128\)

Here we multiplied 2 together 7 times.

For the shorthand, we write \(2^7 = 128\)

That little 7 means the number of times that we multiply 2 by itself and is called an exponent; sometimes we call it a power.

Here are a couple more examples:

\(5^3 = 5 \times 5 \times 5=125\)

\(7^2 = 7 \times 7 = 49\)

\(2^4 = 2 \times 2 \times 2 \times 2 = 16\)

Some of the easiest to calculate are the powers of 10. Try these:

\(10^2 = 100\)

\(10^4 = 10,000\)

\(10^8 = 100,000,000\)

Notice a pattern?

### Scripture Connection

**Alma 37:6**

Like the small and simple things in this scripture, exponents also bring about great things. They are tiny numbers that make a big difference on the outcome of the answer.

## Additional Resources

- Khan Academy: Introduction to Exponents (03:02 mins, Transcript)

### Practice Problems

Evaluate the following expression:- \(1^2\, = \,?\) (Solution
- \(8^2\, = \,?\) (Video Solution
- \(0^3\, = \,?\) (Solution
- \(5^3\, = \,?\) (Solution
- \(4^3\, = \,?\) (Video Solution
- \(3^4\, = \,?\) (Solution

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